Pith Number

pith:J54NM2KP

pith:2017:J54NM2KPAZK2BFHPBNNTH26DEQ

not attested not anchored not stored refs pending

The monoids of the patience sorting algorithm

Alan J. Cain, Ant\'onio Malheiro, F\'abio M. Silva

arxiv:1706.06884 v1 · 2017-06-21 · math.GR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J54NM2KPAZK2BFHPBNNTH26DEQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:41:56.655942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f78d6694f0655a094ef0b5b33ebc3243c6428b9ebd14ac5d53416fe9d6a9241

Aliases

arxiv: 1706.06884 · arxiv_version: 1706.06884v1 · doi: 10.48550/arxiv.1706.06884 · pith_short_12: J54NM2KPAZK2 · pith_short_16: J54NM2KPAZK2BFHP · pith_short_8: J54NM2KP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/J54NM2KPAZK2BFHPBNNTH26DEQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4f78d6694f0655a094ef0b5b33ebc3243c6428b9ebd14ac5d53416fe9d6a9241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b33373ff6d5f5699f7b6cfcc1f9b6118466863fd3825582b243bc08db64642ae",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-06-21T13:16:47Z",
    "title_canon_sha256": "2b3b7e5fa8ad7a8f3174c82cf0740c8bad8a04dd58f8e61a7b5ae9e98e769029"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06884",
    "kind": "arxiv",
    "version": 1
  }
}